MinT - Information on Result #1113491

Information on Result #1113491

Linear OOA(3²¹⁸, 64, F₃, 5, 129) (dual of [(64, 5), 102, 130]-NRT-code), using extracting embedded OOA based on digital (89, 218, 64)-net over F₃, using

net from sequence [i] based on digital (89, 63)-sequence over F₃, using
- base reduction for sequences [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²¹⁸, 64, F₃, 5, 128) (dual of [(64, 5), 102, 129]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²¹⁸, 64, F₃, 5, 127) (dual of [(64, 5), 102, 128]-NRT-code)	[i]
3	Linear OOA(3²¹⁸, 64, F₃, 5, 126) (dual of [(64, 5), 102, 127]-NRT-code)	[i]
4	Linear OOA(3²¹⁸, 64, F₃, 5, 125) (dual of [(64, 5), 102, 126]-NRT-code)	[i]
5	Linear OOA(3²²³, 65, F₃, 5, 129) (dual of [(65, 5), 102, 130]-NRT-code)	[i]		NRT-Code Embedding in Larger Space